jo-jo, I've never had to use Lovenox, but from what I read on this place, it only lasts 12 hours, so 2 shots a day are normal. It also acts instantly, which is why it is used for anti-coagulation until the INR gets back in range. Lovenox does not actually affect the INR.
EXPERTS : If I've said anything wrong, please feel free to correct me!
BTW, hope you get over your flu/bronchitis soon.